Answer:
<u>The standard deviation of the uniform distribution is:</u>
<u>U(3, 12)</u>
- σ = (12−3)/√12 = 9/√12 = 2.5981
<u>U(80, 250)</u>
- σ = (250−80)/√12 = 170/√12 = 49.0748
<u>U(4, 93)</u>
- σ = (93−4)/√12 = 89/√12 = 25.6921
Answer:
e = 10
Step-by-step explanation:
9e+4=-5e+14+13e
Combine like terms
9e+4=14+8e
Subtract 8e from both sides
9e-8e+4=8e-8e +14
e +4 = 14
Subtract 4 from each side
e+4-4 = 14-4
e = 10
Answer:
The value of y given the values of x and z in the question is -734.85
Step-by-step explanation:
This is a joint variation question.
First, we are made to know that y varies jointly as x and z.
The equation for this can be written as;
y = k * x * z
Where k is the constant of proportionality.
Let’s calculate k first.
117 = k * (-3) * (-11)
33k = 117
K = 117/33 = 3.55
Now, we proceed to get what y is when x = -9 and z = 23
Let’s plug these values into the initial equation written.
y = k * x * z
We use the value of k calculated above;
y = 3.55 * (-9) * (23) = -734.85
You need to use this formula:
([a]/[sinA])=([c]/[sinC])-I am going to use 'a' for the x, and 'c' for 16(square root of 3)
Now its just getting 'a' by itself.
([c] times [sinA])/([sinC])=[a]
[c]=16 square root of 3
sinA=sin(60)=(square root of 3)/2
sinC=sin(90)=1
Plug it in to get 24 for a, or x. Do the same to figure out y with the new sides.
The final y is:
8 square root of 3
Final answer is C.
Answer:
9
Step-by-step explanation:
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